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Finding the Third Proportional to 38,246 and 53,764

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Solution

The third proportional to 38,246 and 53,764 is: 75,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246 : 53,764 = 53,764 : x
  2. Step 2: Convert to fraction form
    38,246/53,764 = 53,764/x
  3. Step 3: Cross multiply
    38,246x = 53,764 × 53,764
  4. Step 4: Simplify right side
    38,246x = 2,890,567,696
  5. Step 5: Solve for x
    x = 2,890,567,696/38,246
  6. Step 6: Final answer
    x = 75,578.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.